0.5(x+1)-0.3(x-1)=2

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Solution for 0.5(x+1)-0.3(x-1)=2 equation:


Simplifying
0.5(x + 1) + -0.3(x + -1) = 2

Reorder the terms:
0.5(1 + x) + -0.3(x + -1) = 2
(1 * 0.5 + x * 0.5) + -0.3(x + -1) = 2
(0.5 + 0.5x) + -0.3(x + -1) = 2

Reorder the terms:
0.5 + 0.5x + -0.3(-1 + x) = 2
0.5 + 0.5x + (-1 * -0.3 + x * -0.3) = 2
0.5 + 0.5x + (0.3 + -0.3x) = 2

Reorder the terms:
0.5 + 0.3 + 0.5x + -0.3x = 2

Combine like terms: 0.5 + 0.3 = 0.8
0.8 + 0.5x + -0.3x = 2

Combine like terms: 0.5x + -0.3x = 0.2x
0.8 + 0.2x = 2

Solving
0.8 + 0.2x = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.2x = 2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.2x = 2 + -0.8
0.2x = 2 + -0.8

Combine like terms: 2 + -0.8 = 1.2
0.2x = 1.2

Divide each side by '0.2'.
x = 6

Simplifying
x = 6

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